Question $1$:

A Venturi meter with an entrance diameter of $0\mathrm{.}25$ m and a throat diameter of $0\mathrm{.}15$ m is used to measure the volume of gas flowing through a pipe. Assuming the specific weight of the gas to be constant at $25\frac{N}{m^3},$ calculate the volume flowing when the pressure difference between the entrance and the throat is measured as $0\mathrm{.}08$ m on a U$-$tube manometer. Given that the discharge coefficient $C_d$ is $0\mathrm{.}98.$